88119245208960 has 2304 divisors, whose sum is σ = 374765208330240. Its totient is φ = 19724192022528.

The previous prime is 88119245208923. The next prime is 88119245209001. The reversal of 88119245208960 is 6980254291188.

88119245208960 is a `hidden beast` number, since 8 + 8 + 1 + 1 + 9 + 24 + 520 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 80327479132 + ... + 80327480228.

It is an arithmetic number, because the mean of its divisors is an integer number (162658510560).

Almost surely, 2^{88119245208960} is an apocalyptic number.

88119245208960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88119245208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187382604165120).

88119245208960 is an abundant number, since it is smaller than the sum of its proper divisors (286645963121280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88119245208960 is a wasteful number, since it uses less digits than its factorization.

88119245208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 88119245208960 in words is "eighty-eight trillion, one hundred nineteen billion, two hundred forty-five million, two hundred eight thousand, nine hundred sixty".